Algebra Seminar

Cauchy identity for double Schur functions and its applications

Alex Molev

23th May, 12:05-12:55pm, Carslaw 373

Abstract

The double (or factorial) analogues of the Schur functions
turned out to have useful applications in the geometry
of Grassmannians and in representation theory.
We establish new properties of these functions by proving
an analogue of the Cauchy identity. This leads to a construction of
natural bases of the ring of double symmetric functions
and to formulas for the irreducible characters of the symmetric group.

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